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25240068 = 22327372707
BaseRepresentation
bin110000001001…
…0001000000100
31202111022212100
41200102020010
522430140233
62300552100
7424352130
oct140221004
952438770
1025240068
111327a267
128552630
1352c9569
1434d03c0
152338813
hex1812204

25240068 has 72 divisors (see below), whose sum is σ = 74914112. Its totient is φ = 7013952.

The previous prime is 25240067. The next prime is 25240091. The reversal of 25240068 is 86004252.

25240068 is a `hidden beast` number, since 252 + 400 + 6 + 8 = 666.

It is a super-2 number, since 2×252400682 = 1274122065289248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (25240067) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7971 + ... + 10677.

Almost surely, 225240068 is an apocalyptic number.

25240068 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25240068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37457056).

25240068 is an abundant number, since it is smaller than the sum of its proper divisors (49674044).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

25240068 is a wasteful number, since it uses less digits than its factorization.

25240068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2761 (or 2756 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 25240068 is about 5023.9494424208. The cubic root of 25240068 is about 293.3347445984.

The spelling of 25240068 in words is "twenty-five million, two hundred forty thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 63 74 84 111 126 148 222 252 259 333 444 518 666 777 1036 1332 1554 2331 2707 3108 4662 5414 8121 9324 10828 16242 18949 24363 32484 37898 48726 56847 75796 97452 100159 113694 170541 200318 227388 300477 341082 400636 600954 682164 701113 901431 1201908 1402226 1802862 2103339 2804452 3605724 4206678 6310017 8413356 12620034 25240068